Please use this identifier to cite or link to this item: https://doi.org/10.1115/1.4006074
Title: Fault detection and isolation of nonlinear systems: An unknown input observer approach with sum-of-squares techniques
Authors: Xu, J. 
Lum, K.-Y.
Xie, L.
Loh, A.-P. 
Issue Date: 2012
Citation: Xu, J., Lum, K.-Y., Xie, L., Loh, A.-P. (2012). Fault detection and isolation of nonlinear systems: An unknown input observer approach with sum-of-squares techniques. Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME 134 (4) : -. ScholarBank@NUS Repository. https://doi.org/10.1115/1.4006074
Abstract: This paper presents a novel nonlinear unknown input observer (UIO) design method for fault detection and isolation (FDI) of a class of nonlinear affine systems. By using sum-of-squares (SOS) theory and Lie geometry as the main tools, we demonstrate how to relax the rank constraint in the traditional UIO approach and simplify the design procedure, especially for the polynomial nonlinear systems. Meanwhile, we show that the detection and isolation thresholds based on the L 2 gains can be easily obtained via optimization formulated in terms of SOS. Simulation examples are given to illustrate the design procedure and the advantages. © 2012 American Society of Mechanical Engineers.
Source Title: Journal of Dynamic Systems, Measurement and Control, Transactions of the ASME
URI: http://scholarbank.nus.edu.sg/handle/10635/82348
ISSN: 00220434
DOI: 10.1115/1.4006074
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